The Complexity of Two-Way Pushdown Automata and Recursive Programs

1985 ◽  
pp. 341-356 ◽  
Author(s):  
Wojciech Rytter
Keyword(s):  
Recursive Programs ◽  
Pushdown Automata

Temporal Logic and Recursion

1991 ◽  
Vol 14 (2) ◽  
pp. 261-281
Author(s):  
Fred Kröger ◽  
Stephan Merz
Keyword(s):  
Temporal Logic ◽  
Time Scales ◽  
Linear Time ◽  
Recursive Programs

We propose a temporal logic based on structures divided into several layers of linear “time scales” and give a sound and complete derivation system. The logic is applied to the formulation and verification of assertions about sequential recursive programs.

scholarly journals Higher-order Recursion Schemes and Collapsible Pushdown Automata: Logical Properties

2021 ◽  
Vol 22 (2) ◽  
pp. 1-37
Author(s):  
Christopher H. Broadbent ◽  
Arnaud Carayol ◽  
C.-H. Luke Ong ◽  
Olivier Serre
Keyword(s):  
Model Checking ◽  
Free Variable ◽  
Higher Order ◽  
Second Order ◽  
Effective Solution ◽  
Parity Games ◽  
Transition Graphs ◽  
Second Order Logic ◽  
Pushdown Automata ◽  
Monadic Second Order Logic

This article studies the logical properties of a very general class of infinite ranked trees, namely, those generated by higher-order recursion schemes. We consider, for both monadic second-order logic and modal -calculus, three main problems: model-checking, logical reflection (a.k.a. global model-checking, that asks for a finite description of the set of elements for which a formula holds), and selection (that asks, if exists, for some finite description of a set of elements for which an MSO formula with a second-order free variable holds). For each of these problems, we provide an effective solution. This is obtained, thanks to a known connection between higher-order recursion schemes and collapsible pushdown automata and on previous work regarding parity games played on transition graphs of collapsible pushdown automata.

scholarly journals From Security Protocols to Pushdown Automata

2015 ◽  
Vol 17 (1) ◽  
pp. 1-45 ◽  
Author(s):  
Rémy Chrétien ◽  
Véronique Cortier ◽  
Stéphanie Delaune
Keyword(s):  
Security Protocols ◽  
Pushdown Automata

scholarly journals Reachability relations of timed pushdown automata

2021 ◽  
Vol 117 ◽  
pp. 202-241
Author(s):  
Lorenzo Clemente ◽  
Sławomir Lasota
Keyword(s):  
Pushdown Automata

Pushdown Automata

2019 ◽  
pp. 161-182
Author(s):  
Ganesh Lalitha Gopalakrishnan
Keyword(s):  
Pushdown Automata
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