John L. Pollock
... and techniques without becoming embroiled in unnecessary technical details. The most valuable technical tools are those provided by set theory and the predicate calculus. Knowledge of the predicate calculus is indispensable if for no other reason than that it is used so widely in the formulation of ...
... and techniques without becoming embroiled in unnecessary technical details. The most valuable technical tools are those provided by set theory and the predicate calculus. Knowledge of the predicate calculus is indispensable if for no other reason than that it is used so widely in the formulation of ...
Document
... Notice that we cannot hope to Σb1 -define all randomized p-time algorithms in S21 + dWPHP (PV ): by [48], this would imply that ZPP has a complete language, which is known to fail for a suitable relativized class ZPP A . We thus isolate a special subclass of randomized algorithms; the idea is, inste ...
... Notice that we cannot hope to Σb1 -define all randomized p-time algorithms in S21 + dWPHP (PV ): by [48], this would imply that ZPP has a complete language, which is known to fail for a suitable relativized class ZPP A . We thus isolate a special subclass of randomized algorithms; the idea is, inste ...
Simple On-the-fly Automatic Verification of Linear Temporal Logic, R. Gerth and D. Pele, ACM Digital Library
... (line 4). If not, the current node is fully processed and ready to be added to Nodes Set. If there already is a node in Nodes Set with the same obligations in both its Old and Next fields (line 5), the copy that already exists needs only to be updated w.r.t. its set of incoming edges; the set of edg ...
... (line 4). If not, the current node is fully processed and ready to be added to Nodes Set. If there already is a node in Nodes Set with the same obligations in both its Old and Next fields (line 5), the copy that already exists needs only to be updated w.r.t. its set of incoming edges; the set of edg ...
Views: Compositional Reasoning for Concurrent Programs
... state such that this typing is preserved. When views are composed, they must agree on the types of all variables they share. In a type system that permits strong (i.e. type-changing) updates, threads again have knowledge that variables agree with their types, but may make updates that change the typ ...
... state such that this typing is preserved. When views are composed, they must agree on the types of all variables they share. In a type system that permits strong (i.e. type-changing) updates, threads again have knowledge that variables agree with their types, but may make updates that change the typ ...
Uniform satisfiability in PSPACE for local temporal logics over
... next and (universal) until has the same expressive power as first order logic over traces [4]. Moreover, local temporal logics have usually a low complexity, i.e., satisfiability can be solved in PSPACE. We cannot expect a lower complexity since already the classical temporal logic LTL over sequence ...
... next and (universal) until has the same expressive power as first order logic over traces [4]. Moreover, local temporal logics have usually a low complexity, i.e., satisfiability can be solved in PSPACE. We cannot expect a lower complexity since already the classical temporal logic LTL over sequence ...
On modal logics of group belief
... The aim of this work is to advance the state of the art on artificial institutions and normative MASs by proposing a logical model in which the existence and the dynamics of an institution (norms, rules, institutional facts, etc) are determined by the individual and collective attitudes of the agent ...
... The aim of this work is to advance the state of the art on artificial institutions and normative MASs by proposing a logical model in which the existence and the dynamics of an institution (norms, rules, institutional facts, etc) are determined by the individual and collective attitudes of the agent ...
Löwenheim-Skolem Theorems, Countable Approximations, and L
... L∞ω but not in Lω1 ω this property normally fails. But we will see that the L∞ω properties of arbitrary structures are determined by properties of their countable substructures. In particular we obtain a biconditional strengthening of the ‘simple’ Löwenheim-Skolem Theorem for Lω1 ω given above. We ...
... L∞ω but not in Lω1 ω this property normally fails. But we will see that the L∞ω properties of arbitrary structures are determined by properties of their countable substructures. In particular we obtain a biconditional strengthening of the ‘simple’ Löwenheim-Skolem Theorem for Lω1 ω given above. We ...
Consequence relations and admissible rules
... in this paper we want to define in detail what it means that a rule of inference is admissible in a certain theory. As this has more to do with consequence relations in general and the way in which they can be extended by rules, results about particular logics will be only discussed as illustration ...
... in this paper we want to define in detail what it means that a rule of inference is admissible in a certain theory. As this has more to do with consequence relations in general and the way in which they can be extended by rules, results about particular logics will be only discussed as illustration ...
The Emergence of First
... a logician used first-order logic and where, as more frequently occurred, he employed some richer form of logic. I have distinguished between a logician's use of first-order logic (where quantifiers range only over individuals), second-order logic (where quantifiers can also range over sets or relat ...
... a logician used first-order logic and where, as more frequently occurred, he employed some richer form of logic. I have distinguished between a logician's use of first-order logic (where quantifiers range only over individuals), second-order logic (where quantifiers can also range over sets or relat ...
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possible-worlds semantics for modal notions conceived as predicates
... axioms and rules. This terminology is surely confusing, but it has become almost standard terminology after Kripke [27] had shown how to apply a substitutional interpretation of quantification with the mentioned properties. Substitutional quantification in this sense is not simple propositional quan ...
... axioms and rules. This terminology is surely confusing, but it has become almost standard terminology after Kripke [27] had shown how to apply a substitutional interpretation of quantification with the mentioned properties. Substitutional quantification in this sense is not simple propositional quan ...
Argument construction and reinstatement in logics for
... several reasons. First, they often allow a more natural treatment of priorities among conflicting defeasible rules than the standard fixed-point or model-preference approaches, such as default logic or circumscription. Second, the explicit emphasis on the manipulation and comparison of arguments – f ...
... several reasons. First, they often allow a more natural treatment of priorities among conflicting defeasible rules than the standard fixed-point or model-preference approaches, such as default logic or circumscription. Second, the explicit emphasis on the manipulation and comparison of arguments – f ...
Sample pages 2 PDF
... There are different ways of writing Jill’s constraint. For instance, another valid way of writing it is C ⇒ ¬S, or even ¬(C ∧ S). Which to choose is largely a matter of interpretation of the English statement. Luckily, we will later develop mathematical tools to show that these three ways of writing ...
... There are different ways of writing Jill’s constraint. For instance, another valid way of writing it is C ⇒ ¬S, or even ¬(C ∧ S). Which to choose is largely a matter of interpretation of the English statement. Luckily, we will later develop mathematical tools to show that these three ways of writing ...
Document
... of three usual operators: the negation operator ¬ (unary), the conjunction operator ∧ (binary) and the disjunction operator ∨ (binary), each of them being used to connect formulae (the variables themselves are atomic formulae). Insofar as a propositional formula is built in an inductive way (since t ...
... of three usual operators: the negation operator ¬ (unary), the conjunction operator ∧ (binary) and the disjunction operator ∨ (binary), each of them being used to connect formulae (the variables themselves are atomic formulae). Insofar as a propositional formula is built in an inductive way (since t ...
Higher Order Logic - Indiana University
... function-constants and relation-constants. Compound V -formulas are then generated from atomic formulas using the usual propositional connectives as well as quanti ers over all variables, including the function-variables and relation-variables. A formula with no free variable is a closed formula, or ...
... function-constants and relation-constants. Compound V -formulas are then generated from atomic formulas using the usual propositional connectives as well as quanti ers over all variables, including the function-variables and relation-variables. A formula with no free variable is a closed formula, or ...
