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On the expressiveness of real and integer arithmetic automata

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What this work says

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

inferredcites →https://doi.org/10.1002/malq.19600060105openalex-snapshot
Weak Second‐Order Arithmetic and Finite Automata
inferredcites →https://doi.org/10.1007/3-540-58179-0_43openalex-snapshot
Symbolic verification with periodic sets
inferredcites →https://doi.org/10.1007/3-540-61064-2_27openalex-snapshot
Diophantine equations, Presburger arithmetic and finite automata
inferredcites →https://doi.org/10.1007/3-540-63166-6_18openalex-snapshot
An improved reachability analysis method for strongly linear hybrid systems (extended abstract)
inferredcites →https://doi.org/10.1007/978-1-4613-8928-6_22openalex-snapshot
Weak Second-Order Arithmetic and Finite Automata
inferredcites →https://doi.org/10.1007/978-1-4613-8928-6_23openalex-snapshot
On a Decision Method in Restricted Second Order Arithmetic
inferredcites →https://doi.org/10.1007/bf00967164openalex-snapshot
Presburgerness of predicates regular in two number systems
inferredcites →https://doi.org/10.1007/bf01746527openalex-snapshot
On the base-dependence of sets of numbers recognizable by finite automata
inferredcites →https://doi.org/10.1016/0304-3975(92)90256-fopenalex-snapshot
The theory of 〈N, +, Vk, Vl〉 is undecidable
inferredcites →https://doi.org/10.1016/0304-3975(94)00202-topenalex-snapshot
The algorithmic analysis of hybrid systems
inferredcites →https://doi.org/10.1016/0304-3975(94)90010-8openalex-snapshot
A theory of timed automata
inferredcites →https://doi.org/10.1109/lics.1996.561342openalex-snapshot
The theory of hybrid automata
inferredcites →https://doi.org/10.1109/tc.1986.1676819openalex-snapshot
Graph-Based Algorithms for Boolean Function Manipulation
inferredcites →https://doi.org/10.1145/136035.136043openalex-snapshot
Symbolic Boolean manipulation with ordered binary-decision diagrams
inferredcites →https://doi.org/10.36045/bbms/1103408547openalex-snapshot
Logic and {$p$}-recognizable sets of integers

What points at this work

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

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Verifying the Incorrectness of Programs and Automata
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Binary Reachability Analysis of Pushdown Timed Automata with Dense Clocks
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Mechanical Abstraction of CSPZ Processes
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Representing Arithmetic Constraints with Finite Automata: An Overview
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On the Use of Weak Automata for Deciding Linear Arithmetic with Integer and Real Variables
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On the Construction of Automata from Linear Arithmetic Constraints
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Approaching Arithmetic Theories with Finite-State Automata
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$$\langle \mathbb {R}, +,<,1 \rangle $$ Is Decidable in $$\langle \mathbb {R}, +,< ,\mathbb {Z}\rangle $$
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Algebraic Reasoning Meets Automata in Solving Linear Integer Arithmetic
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On the Sets of Real Numbers Recognized by Finite Automata in Multiple Bases
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Finite Presentations of Infinite Structures: Automata and Interpretations
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EXPANSIONS OF THE ORDERED ADDITIVE GROUP OF REAL NUMBERS BY TWO DISCRETE SUBGROUPS
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FRACTAL DIMENSIONS OF k-AUTOMATIC SETS
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Quantifier Elimination for Regular Integer Linear-Exponential Programming
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An Effective Decision Procedure for Linear Arithmetic with Integer and Real Variables
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