LEADER 01422nam 2200337 n 450 001 996392659103316 005 20221108032036.0 035 $a(CKB)1000000000684581 035 $a(EEBO)2240920144 035 $a(UnM)9928584300971 035 $a(UnM)99834644 035 $a(EXLCZ)991000000000684581 100 $a19970505d1662 uy | 101 0 $aeng 135 $aurbn||||a|bb| 200 10$aStudii legalis ratio: or, Directions for the study of the law$b[electronic resource] $eunder these heads: the qualifications for, nature, means, method, time and place of the study. The second addition, [sic] corrected and enlarged, by W. P 210 $aLondon $cPrinted for Francis Kirkman, in the Minories, without Aldgate, and Thomas Dring the Younger, at the White Lyon next Chancery-lane in Fleetstreet$d1667 215 $a[12], 204 p. 300 $aThe words following 'heads:' and preceeding the edition statement are gathered using three brackets. 300 $aReproduction of the original at the British Library. 330 $aeebo-0018 606 $aLaw$zEngland$xStudy and teaching$vEarly works to 1800 615 0$aLaw$xStudy and teaching 700 $aPhillips$b William$01604 801 0$bCu-RivES 801 1$bCu-RivES 801 2$bWaOLN 906 $aBOOK 912 $a996392659103316 996 $aStudii legalis ratio: or, Directions for the study of the law$92330297 997 $aUNISA LEADER 07199nam 2200541 450 001 996472064903316 005 20230213164221.0 010 $a981-16-9294-7 035 $a(MiAaPQ)EBC6951954 035 $a(Au-PeEL)EBL6951954 035 $a(CKB)21507173700041 035 $a(PPN)262171627 035 $a(EXLCZ)9921507173700041 100 $a20221119d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aR-calculus$hII $eMany-valued logics /$fWei Li, Yuefei Sui 210 1$aSingapore :$cScience Press,$d[2022] 210 4$d©2022 215 $a1 online resource (281 pages) 225 0 $aPerspectives in Formal Induction, Revision and Evolution 311 08$aPrint version: Li, Wei R-Calculus, II: Many-Valued Logics Singapore : Springer Singapore Pte. Limited,c2022 9789811692932 320 $aIncludes bibliographical references. 327 $aIntro -- Preface to the Series -- Preface -- Contents -- 1 Introduction -- 1.1 R-Calculus -- 1.2 Many-Valued Logics -- 1.3 Contents in the First Volume -- 1.4 Contents in This Volume -- 1.5 Notations -- References -- 2 R-Calculus for PL -- 2.1 Basic Definitions -- 2.2 Monotonic Tableau Proof Systems -- 2.2.1 Tableau Proof System Tf -- 2.2.2 Tableau Proof System Tt -- 2.3 Nonmonotonic Tableau Proof Systems -- 2.3.1 Tableau Proof System St -- 2.3.2 Tableau Proof System Sf -- 2.4 R-Calculi -- 2.4.1 R-Calculus Rt -- 2.4.2 R-Calculus Rf -- 2.5 Projecting R-Calculi to Tableau Proof Systems -- 2.6 Notes -- References -- 3 R-Calculus for Description Logic -- 3.1 Basic Definitions -- 3.2 Monotonic Tableau Proof Systems -- 3.2.1 Tableau Proof System Tt -- 3.2.2 Tableau Proof System Tf -- 3.3 Nonmonotonic Tableau Proof Systems -- 3.3.1 Tableau Proof System St -- 3.3.2 Tableau Proof System Sf -- 3.4 R-Calculi -- 3.4.1 R-Calculus Rt -- 3.4.2 R-Calculus Rf -- 3.5 Projecting R-Calculi to Tableau Proof Systems -- References -- 4 R-Calculus for L3-Valued PL -- 4.1 Basic Definitions -- 4.2 Monotonic Tableau Proof Systems -- 4.2.1 Tableau Proof System Tt -- 4.2.2 Tableau Proof System Tm -- 4.2.3 Tableau Proof System Tf -- 4.3 Nonmonotonic Tableau Proof Systems -- 4.3.1 Tableau Proof System St -- 4.3.2 Tableau Proof System Sm -- 4.3.3 Tableau Proof System Sf -- 4.4 R-Calculi -- 4.4.1 R-Calculus Rt -- 4.4.2 R-Calculus Rm -- 4.4.3 R-Calculus Rf -- 4.5 Satisfiability and Unsatisfiability -- 4.5.1 t-Satisfiability and t-Unsatisfiability -- 4.5.2 m-Satisfiability and m-Unsatisfiability -- 4.5.3 f-Satisfiability and f-Unsatisfiability -- 4.6 Projecting R-Calculi to Tableau Proof Systems -- 4.7 Notes -- References -- 5 R-Calculus for L3-Valued PL, II -- 5.1 Monotonic Tableau Proof Systems -- 5.1.1 Tableau Proof System Tt -- 5.1.2 Tableau Proof System Tm. 327 $a5.1.3 Tableau Proof System Tf -- 5.2 Nonmonotonic Tableau Proof Systems -- 5.2.1 Tableau Proof System St -- 5.2.2 Tableau Proof System Sm -- 5.2.3 Tableau Proof System Sf -- 5.3 R-Calculi -- 5.3.1 R-Calculus Rt -- 5.3.2 R-Calculus Rm -- 5.3.3 R-Calculus Rf -- 5.4 Validity and Invalidity -- 5.4.1 t-Invalidity and t-Validity -- 5.4.2 m-Invalidity and m-Validity -- 5.4.3 f-Invalidity and f-Validity -- 5.5 Projecting R-Calculi to Tableau Proof Systems -- References -- 6 R-Calculus for B22-Valued PL -- 6.1 Basic Definitions -- 6.2 Monotonic Tableau Proof Systems -- 6.2.1 Tableau Proof System Tt -- 6.2.2 Tableau Proof System T -- 6.2.3 Tableau Proof System Tperp -- 6.2.4 Tableau Proof System Tf -- 6.3 Nonmonotonic Tableau Proof Systems -- 6.3.1 Tableau Proof System St -- 6.3.2 Tableau Proof System S -- 6.3.3 Tableau Proof System Sperp -- 6.3.4 Tableau Proof System Sf -- 6.4 R-Calculi -- 6.4.1 R-Calculus Rt -- 6.4.2 R-Calculus R -- 6.4.3 R-Calculus Rperp -- 6.4.4 R-Calculus Rf -- 6.5 Projecting R-Calculi to Tableau Proof Systems -- 6.6 Notes -- References -- 7 R-Calculus for B22-Valued PL,II -- 7.1 Monotonic Tableau Proof Systems Tast1ast2 -- 7.1.1 Tableau Proof System Tt -- 7.1.2 Tableau Proof System Ttperp -- 7.2 Tableau Proof Systems Tast1ast2 -- 7.2.1 Tableau Proof System Tt -- 7.2.2 Tableau Proof System Ttperp -- 7.3 Nonmonotonic Tableau Proof Systems -- 7.3.1 Tableau Proof System St -- 7.3.2 Tableau Proof System Stperp -- 7.3.3 Tableau Proof System St -- 7.3.4 Tableau Proof System Stperp -- 7.4 R-Calculi -- 7.4.1 R-Calculus Rt -- 7.4.2 R-Calculus Rtperp -- 7.4.3 R-Calculus Rf -- 7.4.4 R-Calculus Rfperp -- 7.5 Projecting R-Calculi to Tableau Proof Systems -- 7.6 Notes -- References -- 8 Co-R-Calculus for PL -- 8.1 Co-R-calculi in Propositional Logic -- 8.1.1 Co-R-Calculus Ut -- 8.1.2 Co-R-Calculus Uf -- 8.2 Co-R-Calculi in L3-Valued PL. 327 $a8.2.1 Co-R-Calculus Ut -- 8.2.2 Co-R-Calculus Um -- 8.2.3 Co-R-Calculus Uf -- 8.3 Co-R-Calculi in B22-Valued Propositional Logic -- 8.3.1 Co-R-Calculus Ut -- 8.4 Notes -- References -- 9 Multisequents and Hypersequents -- 9.1 Tableau Proof Systems -- 9.1.1 Tableau-Typed Proof System Tt -- 9.1.2 Tableau Proof System Tt -- 9.2 Sequents in L3-Valued Propositional Logic -- 9.2.1 Gentzen Deduction System for ?? -- 9.2.2 Gentzen Deduction System for ?? -- 9.2.3 Gentzen Deduction System for ?? -- 9.3 Multisequents in L3-Valued PL -- 9.3.1 Multisequents -- 9.3.2 Co-Multisequents -- 9.4 Hypersequents in L3-Valued PL -- 9.5 Notes -- References -- 10 Product of Two R-Calculi -- 10.1 Tableau Proof Systems in Modalized PL -- 10.1.1 Monotonic Tableau Proof Systems -- 10.1.2 Nonmonotonic Tableau Proof Systems -- 10.2 Product of B2-Valued PLs -- 10.2.1 Tableau Proof System P4t -- 10.2.2 Tableau Proof System P4t -- 10.2.3 Tableau Proof System Qt -- 10.3 Product of Two R-Calculi -- 10.3.1 R-Calculi Rt2 and Rf2 -- 10.3.2 R-Calculus U4t -- 10.4 Notes -- References -- 11 Sum of Two R-Calculi -- 11.1 The Sum with One Common Element -- 11.1.1 B2[f,m]oplusB2[m,t] -- 11.1.2 Operators on Tableau Proof Systems -- 11.1.3 Sum of Tableau Proof Systems -- 11.1.4 R-Calculi -- 11.1.5 R-Calculi in PL -- 11.1.6 R-Calculi in L3-Valued PL -- 11.2 The Sum Without Common Elements -- 11.2.1 L4-Valued PL -- 11.2.2 Equivalences -- 11.2.3 Tableau Proof System Tt4 -- 11.2.4 Tableau Proof System T4 -- 11.2.5 Tableau Proof System Tperp4 -- 11.2.6 Tableau Proof System Tf4 -- 11.2.7 Sum of Tableau Proof Systems: Tt4=sim2(Tt2)oplusTt2 -- 11.2.8 Sum of Tableau Proof Systems: Tt4=Tperp2oplusTt2 -- 11.2.9 Sum of Tableau Proof Systems: St4=Sperp2oplusSt2 -- 11.2.10 Sum of R-Calculi: Rt4equivRperp2oplusRt2 -- 11.3 Notes -- References. 410 0$aPerspectives in Formal Induction, Revision and Evolution Ser. 606 $aCalculus 606 $aLogic, Symbolic and mathematical 606 $aComputer logic 606 $aR (Computer program language) 615 0$aCalculus. 615 0$aLogic, Symbolic and mathematical. 615 0$aComputer logic. 615 0$aR (Computer program language). 676 $a515 700 $aLi$b Wei$f1943 June-$01265165 702 $aSui$b Yuefei 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996472064903316 996 $aR-calculus$92966836 997 $aUNISA LEADER 01262nas a2200301 i 4500 001 991002716869707536 005 20231114121119.0 008 011205m19719999it || | |ita 022 $a1124-1853 035 $ab11698445-39ule_inst 035 $aPERLE006099$9ExL 080 $aCDU 53 229 3$aIl Nuovo cimento della Società Italiana di Fisica. 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