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Integer Circuit Evaluation Is PSPACE-Complete

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-44450-5_13openalex-snapshot
Arithmetic Circuits and Polynomial Replacement Systems
inferredcites →https://doi.org/10.1007/bf01200057openalex-snapshot
Arithmetization: A new method in structural complexity theory
inferredcites →https://doi.org/10.1016/s0022-0000(77)80013-5openalex-snapshot
Sparse complex polynomials and polynomial reducibility
inferredcites →https://doi.org/10.1016/s0304-3975(97)00227-2openalex-snapshot
Non-commutative arithmetic circuits: depth reduction and size lower bounds
inferredcites →https://doi.org/10.1109/psct.1987.10319258openalex-snapshot
PSPACE Survives Three-Bit Bottlenecks
inferredcites →https://doi.org/10.1137/s009753970139207xopenalex-snapshot
Arithmetic Circuits and Polynomial Replacement Systems
inferredcites →https://doi.org/10.1137/s0097539793249530openalex-snapshot
Finite Monoids: From Word to Circuit Evaluation
inferredcites →https://doi.org/10.1145/42267.45069openalex-snapshot
Greatest common divisors of polynomials given by straight-line programs
inferredcites →https://doi.org/10.1145/800125.804029openalex-snapshot
Word problems requiring exponential time(Preliminary Report)

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/11537311_8openalex-snapshot
Decidable Membership Problems for Finite Recurrent Systems over Sets of Naturals
inferred← citeshttps://doi.org/10.1007/3-540-36494-3_50openalex-snapshot
The Complexity of Membership Problems for Circuits over Sets of Natural Numbers
inferred← citeshttps://doi.org/10.1007/3-540-44450-5_13openalex-snapshot
Arithmetic Circuits and Polynomial Replacement Systems
inferred← citeshttps://doi.org/10.1007/978-3-031-92935-9_11openalex-snapshot
Arithmetic Circuits with Division
inferred← citeshttps://doi.org/10.1007/978-3-319-40189-8_33openalex-snapshot
Circuit Satisfiability and Constraint Satisfaction Around Skolem Arithmetic
inferred← citeshttps://doi.org/10.1007/978-3-540-28629-5_23openalex-snapshot
The Complexity of Membership Problems for Circuits over Sets of Integers
inferred← citeshttps://doi.org/10.1007/978-3-540-74240-1_12openalex-snapshot
The Complexity of Membership Problems for Circuits over Sets of Positive Numbers
inferred← citeshttps://doi.org/10.1007/978-3-540-74510-5_15openalex-snapshot
Equivalence Problems for Circuits over Sets of Natural Numbers
inferred← citeshttps://doi.org/10.1007/978-3-540-77050-3_21openalex-snapshot
Satisfiability of Algebraic Circuits over Sets of Natural Numbers
inferred← citeshttps://doi.org/10.1007/978-3-642-03073-4_42openalex-snapshot
Functions Definable by Arithmetic Circuits
inferred← citeshttps://doi.org/10.1007/s00224-007-2034-7openalex-snapshot
Polynomial-Space Decidable Membership Problems for Recurrent Systems over Sets of Natural Numbers
inferred← citeshttps://doi.org/10.1007/s00224-008-9144-8openalex-snapshot
Equivalence Problems for Circuits over Sets of Natural Numbers
inferred← citeshttps://doi.org/10.1007/s00224-009-9246-yopenalex-snapshot
Complexity of Equations over Sets of Natural Numbers
inferred← citeshttps://doi.org/10.1016/j.dam.2010.04.001openalex-snapshot
Satisfiability of algebraic circuits over sets of natural numbers
inferred← citeshttps://doi.org/10.1016/j.tcs.2006.08.017openalex-snapshot
The complexity of membership problems for circuits over sets of integers
inferred← citeshttps://doi.org/10.1016/j.tcs.2017.08.025openalex-snapshot
Circuit satisfiability and constraint satisfaction around Skolem Arithmetic
inferred← citeshttps://doi.org/10.1016/j.tcs.2019.09.052openalex-snapshot
Balance problems for integer circuits
inferred← citeshttps://doi.org/10.1016/j.tcs.2020.03.023openalex-snapshot
Emptiness problems for integer circuits
inferred← citeshttps://doi.org/10.1093/logcom/exr050openalex-snapshot
Functions definable by numerical set-expressions
inferred← citeshttps://doi.org/10.1137/s009753970139207xopenalex-snapshot
Arithmetic Circuits and Polynomial Replacement Systems
inferred← citeshttps://doi.org/10.1145/3665339openalex-snapshot
RNA: R1CS Normalization Algorithm Based on Data Flow Graphs for Zero-Knowledge Proofs
inferred← citeshttps://doi.org/10.4230/lipics.stacs.2008.1319openalex-snapshot
Complexity of solutions of equations over sets of natural numbers
inferred← citeshttps://doi.org/10.48550/arxiv.1504.04181openalex-snapshot
Constraint Satisfaction Problems around Skolem Arithmetic
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