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Infinite trees in normal form and recursive equations having a unique solution

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What this work says

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

inferredcites →https://doi.org/10.1007/3-540-08921-7_53openalex-snapshot
The algebraic semantics of recursive program schemes
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Programming languages as mathematical objects
inferredcites →https://doi.org/10.1007/978-1-4613-8177-8_7openalex-snapshot
On the Algebraic Structure of Rooted Trees
inferredcites →https://doi.org/10.1007/978-3-642-81955-1_23openalex-snapshot
Simple Word Problems in Universal Algebras
inferredcites →https://doi.org/10.1007/978-94-011-1793-7_2openalex-snapshot
Towards a Mathematical Science of Computation
inferredcites →https://doi.org/10.1007/bf00263742openalex-snapshot
A system which automatically improves programs
inferredcites →https://doi.org/10.1007/bf00264598openalex-snapshot
Proving and applying program transformations expressed with second-order patterns
inferredcites →https://doi.org/10.1016/0004-3702(75)90008-9openalex-snapshot
Knowledge and reasoning in program synthesis
inferredcites →https://doi.org/10.1016/0010-4485(78)90044-1openalex-snapshot
Computing in systems described by equations
inferredcites →https://doi.org/10.1016/0022-0000(78)90016-8openalex-snapshot
On some classes of interpretations
inferredcites →https://doi.org/10.1016/0022-0000(78)90024-7openalex-snapshot
On the algebraic structure of rooted trees
inferredcites →https://doi.org/10.1016/0304-3975(76)90074-8openalex-snapshot
The inclusion problem for simple languages
inferredcites →https://doi.org/10.1016/0304-3975(78)90039-7openalex-snapshot
A representation of trees by languages II
inferredcites →https://doi.org/10.1016/0304-3975(78)90040-3openalex-snapshot
A uniform approach to inductive posets and inductive closure
inferredcites →https://doi.org/10.1016/b978-0-08-012975-4.50028-xopenalex-snapshot
Simple Word Problems in Universal Algebras††The work reported in this paper was supported in part by the U.S. Office of Naval Research.
inferredcites →https://doi.org/10.1016/s0022-0000(75)80057-2openalex-snapshot
Program equivalence and context-free grammars
inferredcites →https://doi.org/10.1016/s0022-0000(76)80030-xopenalex-snapshot
Varieties of ordered algebras
inferredcites →https://doi.org/10.1016/s0022-0000(76)80036-0openalex-snapshot
Completeness results for the equivalence of recursive schemas
inferredcites →https://doi.org/10.1016/s0022-0000(77)80019-6openalex-snapshot
Equivalence problems for deterministic context-free languages and monadic recursion schemes
inferredcites →https://doi.org/10.1016/s0049-237x(08)72018-4openalex-snapshot
A Basis for a Mathematical Theory of Computation )
inferredcites →https://doi.org/10.1016/s0049-237x(08)x7102-2openalex-snapshot
Computer Programming and Formal Systems
inferredcites →https://doi.org/10.1016/s0049-237x(09)70099-0openalex-snapshot
A Basis for a Mathematical Theory of Computation
inferredcites →https://doi.org/10.1051/ita/1979130100311openalex-snapshot
Arbres infinis et systèmes d'équations
inferredcites →https://doi.org/10.1108/ir.1999.04926fae.001openalex-snapshot
Lecture Notes in Computer Science 1205
inferredcites →https://doi.org/10.1109/sfcs.1976.3openalex-snapshot
Algebraic families of interpretations
inferredcites →https://doi.org/10.1109/sfcs.1977.9openalex-snapshot
Conflunt reductions: Abstract properties and applications to term rewriting systems
inferredcites →https://doi.org/10.1145/321738.321750openalex-snapshot
Tree-Manipulating Systems and Church-Rosser Theorems
inferredcites →https://doi.org/10.1145/321992.321996openalex-snapshot
A Transformation System for Developing Recursive Programs
inferredcites →https://doi.org/10.1145/321992.321997openalex-snapshot
Initial Algebra Semantics and Continuous Algebras
inferredcites →https://doi.org/10.1145/322217.322230openalex-snapshot
Confluent Reductions: Abstract Properties and Applications to Term Rewriting Systems
inferredcites →https://doi.org/10.1145/361454.361460openalex-snapshot
Fixpoint approach to the theory of computation
inferredcites →https://doi.org/10.1145/800133.804334openalex-snapshot
Operational and semantic equivalence between recursive programs.
inferredcites →https://doi.org/10.1147/rd.202.0138openalex-snapshot
Bases for Chain-complete Posets
inferredcites →https://doi.org/10.3233/fi-1980-3109openalex-snapshot
Completions of ordered magmas

What points at this work

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

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A system for proving equivalences of recursive programs
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Semantics of non-terminating rewrite systems using minimal coverings
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Equations Compared with Clauses for Specification of Abstract Data Types
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Fundamental Properties of Infinite Trees
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Static correctness of hierarchical procedures
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Static typing for object-oriented programming
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Equivalences and transformations of regular systems—Applications to recursive program schemes and grammars
inferred← citeshttps://doi.org/10.1016/0304-3975(91)90023-uopenalex-snapshot
The complexity of computing the number of strings of given length in context-free languages
inferred← citeshttps://doi.org/10.1016/0304-3975(91)90040-9openalex-snapshot
Rewrite, rewrite, rewrite, rewrite, rewrite, …
inferred← citeshttps://doi.org/10.1016/0304-3975(92)90182-fopenalex-snapshot
Conditional rewriting logic as a unified model of concurrency
inferred← citeshttps://doi.org/10.1016/0304-3975(92)90280-sopenalex-snapshot
Interpretations of recursively defined types
inferred← citeshttps://doi.org/10.1016/0304-3975(95)00086-0openalex-snapshot
Static correctness of hierarchical procedures
inferred← citeshttps://doi.org/10.1016/0304-3975(96)00074-6openalex-snapshot
Proving the correctness of recursion-based automatic program transformations
inferred← citeshttps://doi.org/10.1016/b978-0-12-115350-2.50017-8openalex-snapshot
Equations and Rewrite Rules: A Survey
inferred← citeshttps://doi.org/10.1016/b978-0-444-88074-1.50014-7openalex-snapshot
Recursive Applicative Program Schemes
inferred← citeshttps://doi.org/10.1016/j.entcs.2005.01.034openalex-snapshot
A Rewriting Calculus for Cyclic Higher-order Term Graphs
inferred← citeshttps://doi.org/10.1016/s0304-0208(08)73837-4openalex-snapshot
About Ordered Sets in Algebraic Semantics
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Algebraic and fixed point equations over inverse limits of algebras
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Computing in unpredictable environments: semantics, reduction strategies, and program transformations
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A rewriting calculus for cyclic higher-order term graphs
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Optimal Representations of Polymorphic Types with Subtyping
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Définitions récursives par cas
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Continuous monoids and yields of infinite trees
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Equivalences and transformations of recursive definitions
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Continuous Data Types
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Varieties of ”If-Then-Else“
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n -Rational Algebras I. Basic Properties and Free Algebras
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n -Rational Algebras II. Varieties and Logic of inequalities
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Survey on classes of interpretations and some of their applications
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A theory of totally correct logic program transformations
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Towards a theory of packages
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Total correctness by local improvement in program transformation
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Total correctness by local improvement in the transformation of functional programs
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From SOS rules to proof principles
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Rewrite, rewrite, rewrite, rewrite, rewrite...
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Towards a theory of packages
inferred← citeshttps://doi.org/10.1145/872728.806833openalex-snapshot
Towards a theory of packages
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EQUATIONAL TERM GRAPH REWRITING
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Static Typing for Object-Oriented Programming
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