Hoare logic (also known as Floyd–Hoare logic or Hoare rules) is a formal system with a set of logical rules for reasoning rigorously about the correctness of computer programs. It was proposed in 1969 by the British computer scientist and logician Tony Hoare, and subsequently refined by Hoare and other researchers.[1] The original ideas were seeded by the work of Robert W. Floyd, who had published a similar system[2] for flowcharts.
^Hoare, C. A. R. (October 1969). "An axiomatic basis for computer programming". Communications of the ACM. 12 (10): 576–580. doi:10.1145/363235.363259. S2CID 207726175.
^R. W. Floyd. "Assigning meanings to programs." Proceedings of the American Mathematical Society Symposia on Applied Mathematics. Vol. 19, pp. 19–31. 1967.
Hoarelogic (also known as Floyd–Hoarelogic or Hoare rules) is a formal system with a set of logical rules for reasoning rigorously about the correctness...
In computer science, separation logic is an extension of Hoarelogic, a way of reasoning about programs. It was developed by John C. Reynolds, Peter O'Hearn...
distinction in computer science, in 1980. Hoare developed the sorting algorithm quicksort in 1959–1960. He developed Hoarelogic, an axiomatic basis for verifying...
program verification, particularly the Floyd-Hoare approach, loop invariants are expressed by formal predicate logic and used to prove properties of loops and...
Wing detailed their notion of behavioral subtyping in an extension of Hoarelogic, which bears a certain resemblance to Bertrand Meyer's design by contract...
predicate transformer semantics are a reformulation of Floyd–Hoarelogic. Whereas Hoarelogic is presented as a deductive system, predicate transformer semantics...
approach based on mathematical logic for proving the correctness of computer programs. It is closely related to Hoarelogic. Axiomatic semantics define the...
has its roots in work on formal verification, formal specification and Hoarelogic. The original contributions include: A clear metaphor to guide the design...
Separation logic is an extension of Hoarelogic that facilitates reasoning about mutable data structures that use pointers. Following Hoarelogic the formulae...
operational semantics, denotational semantics, axiomatic semantics and Hoarelogic. One approach and formation is model checking, which consists of a systematically...
user of writing specifications. The general proof framework is that of Hoarelogic. Dafny builds on the Boogie intermediate language which uses the Z3 automated...
Wilfred Hoare (1909–2003), English cricketer and headmaster William Hoare (c.1707–1792), British painter Hoare baronets, four Baronetcies Hoarelogic, named...
technique for gathering information about the possible set of values; Hoarelogic, a formal system with a set of logical rules for reasoning rigorously...
operational semantics and, from them, to create a Hoarelogic. Matching logic can be converted to first-order logic with equality, which allows the K Framework...
in Combinatory Logic, later generalized into the Hindley–Milner type inference algorithm. In 1969, Tony Hoare introduces the Hoarelogic, a form of axiomatic...
for an introductory programming course for freshmen” that consisted of Hoarelogic as an uninterpreted formal system. Since the term "software engineering"...
to express computations.[citation needed] Alternative methods such as Hoarelogic and uniqueness have been developed to track side effects in programs...
conditions by analyzing a program's source code using a method based upon Hoarelogic. VC generators may require that the source code contains logical annotations...
resources within the logic itself, rather than, as in classical logic, by means of non-logical predicates and relations. Tony Hoare (1985)'s classic example...
but may not decrease those benefits. Precondition Design by contract Hoarelogic Invariants maintained by conditions Database trigger Meyer, Bertrand...
languages such as the P programming language. Automatic programming Hoarelogic Program refinement Design by contract Program synthesis Proof-carrying...
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