Temporal Stream Logic modulo Theories ∗
Temporal Stream Logic modulo Theories ∗
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时间流逻辑模理论*
DOI:
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发表时间:
2021
期刊:
影响因子:
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通讯作者:
Noemi E. Passing
中科院分区:
文献类型:
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作者:
B. Finkbeiner;Philippe Heim;Noemi E. Passing
. Temporal stream logic (TSL) extends LTL with updates and predicates over arbitrary function terms. This allows for specifying data-intensive systems for which LTL is not expressive enough. In the semantics of TSL, functions and predicates are left uninterpreted. In this paper, we extend TSL with first-order theories, enabling us to specify systems using interpreted functions and predicates such as incrementa-tion or equality. We investigate the satisfiability problem of TSL modulo the standard underlying theory of uninterpreted functions as well as with respect to Presburger arithmetic and the theory of equality: For all three theories, TSL satisfiability is highly undecidable. Nevertheless, we identify three fragments of TSL for which the satisfiability problem is (semi-)decidable in the theory of uninterpreted functions. Despite the high undecidability, we present an algorithm – which is not guaranteed to terminate – for checking the satisfiability of a TSL formula in the theory of uninterpreted functions and evaluate it: It scales well and is able to validate assumptions in a real-world system design.
DOI:
10.1007/978-3-030-53291-8_32
发表时间:
2020-06-16
期刊:
Computer Aided Verification
影响因子:
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作者:
Krogmeier P;Mathur U;Murali A;Madhusudan P;Viswanathan M
通讯作者:
Viswanathan M
DOI:
10.1007/978-3-642-28756-5_47
发表时间:
2012
期刊:
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影响因子:
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作者:
Basler G
通讯作者:
Basler G