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Academic year: 2022

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SC-square 2018 Table of Contents

Table of Contents

Preface . . . iii

Program committee . . . v

Author index . . . vii

Keyword index . . . ix

1 Invited talk Hard Combinatorial Problems: A Challenge for Satisfiability . . . 1

Ilias Kotsireas 2 Research papers Towards Incremental Cylindrical Algebraic Decomposition in Maple . . . 3

Alexander Cowen-Rivers and Matthew England Evaluation of Equational Constraints for CAD in SMT Solving . . . 19

Rebecca Haehn, Gereon Kremer and Erika ´Abrah´am Refutation of Products of Linear Polynomials . . . 33

Jan Horacek and Martin Kreuzer Non-linear Real Arithmetic Benchmarks derived from Automated Reasoning in Economics 48 Casey Mulligan, Russell Bradford, James H. Davenport, Matthew England and Zak Tonks A Practical Polynomial Calculus for Arithmetic Circuit Verification . . . 61

Daniela Ritirc, Armin Biere and Manuel Kauers Unknot Recognition Through Quantifier Elimination . . . 77

Meesum Syed Mohammad and Prathamesh T. V. H. 3 Extended abstracts New in CoCoA-5.2.4 and CoCoALib-0.99600 for SC-Square . . . 88

John Abbott, Anna Maria Bigatti and Elisa Palezzato Constraint Systems from Traffic Scenarios for the Validation of Autonomous Driving . . . 95

Andreas Eggers, Matthias Stasch, Tino Teige, Tom Bienm¨uller and Udo Brockmeyer Wrapping Computer Algebra is Surprisingly Successful for Non-Linear SMT . . . 110

Pascal Fontaine, Mizuhito Ogawa, Thomas Sturm, Van Khanh To and Xuan Tung Vu SMT-like Queries in Maple . . . 118

Stephen A. Forrest Techniques for Natural-style Proofs in Elementary Analysis . . . 122

Tudor Jebelean

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SC-square 2018 Table of Contents

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Preface and Table of Contents

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We would like to thank all who have contributed their time and effort to this year’s workshop program: the workshop and Doctoral Consortium organizers (Kerstin Bach,