LEADER 03196nam 22006135 450 001 9910735787803321 005 20230810225312.0 010 $a3-658-41888-5 024 7 $a10.1007/978-3-658-41888-5 035 $a(MiAaPQ)EBC30661932 035 $a(Au-PeEL)EBL30661932 035 $a(DE-He213)978-3-658-41888-5 035 $a(PPN)272252808 035 $a(EXLCZ)9927757819200041 100 $a20230722d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPolynomial Formal Verification of Approximate Functions$b[electronic resource] /$fby Martha Schnieber 205 $a1st ed. 2023. 210 1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Vieweg,$d2023. 215 $a1 online resource (87 pages) 225 1 $aBestMasters,$x2625-3615 311 08$aPrint version: Schnieber, Martha Polynomial Formal Verification of Approximate Functions Wiesbaden : Springer Fachmedien Wiesbaden GmbH,c2023 9783658418878 327 $aIntroduction -- Preliminaries -- RelatedWork -- PolynomialVerification -- Experiments -- Conclusion. 330 $aDuring the development of digital circuits, their functional correctness has to be ensured, for which formal verification methods have been established. However, the verification process using formal methods can have an exponential time or space complexity, causing the verification to fail. While exponential in general, recently it has been proven that the verification complexity of several circuits is polynomially bounded. Martha Schnieber proves the polynomial verifiability of several approximate circuits, which are beneficial in error-tolerant applications, where the circuit approximates the exact function in some cases, while having a lower delay or being more area-efficient. Here, upper bounds for the BDD size and the time and space complexity are provided for the verification of general approximate functions and several state-of-the-art approximate adders. About the author Martha Schnieber is working as a research assistant in the Group of Computer Architecture at the University of Bremen. 410 0$aBestMasters,$x2625-3615 606 $aElectronic circuits 606 $aElectronic circuit design 606 $aAlgebra 606 $aMathematics$xData processing 606 $aElectronic Circuits and Systems 606 $aElectronics Design and Verification 606 $aAlgebra 606 $aComputational Mathematics and Numerical Analysis 615 0$aElectronic circuits. 615 0$aElectronic circuit design. 615 0$aAlgebra. 615 0$aMathematics$xData processing. 615 14$aElectronic Circuits and Systems. 615 24$aElectronics Design and Verification. 615 24$aAlgebra. 615 24$aComputational Mathematics and Numerical Analysis. 676 $a512.942 700 $aSchnieber$b Martha$01379155 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910735787803321 996 $aPolynomial Formal Verification of Approximate Functions$93418595 997 $aUNINA