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The realm of primitive recursion

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

inferredcites →https://doi.org/10.1002/malq.19710170113openalex-snapshot
Eine Klassifikation der ε0‐Rekursiven Funktionen
inferredcites →https://doi.org/10.1007/978-3-662-12898-5openalex-snapshot
Recursion-Theoretic Hierarchies

What points at this work

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

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A Note on Complexity Measures for Inductive Classes in Constructive Type Theory
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The Small Grzegorczyk Classes and the Typed λ-Calculus
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The Flow of Data and the Complexity of Algorithms
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Towards an Implicit Characterization of NC k
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Efficient First Order Functional Program Interpreter with Time Bound Certifications
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Actual Arithmetic and Feasibility
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Termination Proofs and Complexity Certification
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Extending the Implicit Computational Complexity Approach to the Sub-elementary Time-Space Classes
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Applicative Control and Computational Complexity
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Predicative recurrence in finite types
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Computation models and function algebras
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Intrinsic theories and computational complexity
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Characterizing parallel time by type 2 recursions with polynomial output length
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Ramified Recurrence and Computational Complexity I: Word Recurrence and Poly-time
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Predicative Recursion and The Polytime Hierarchy
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Recursion-Theoretic Alternation
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Predicative Lexicographic Path Orders
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Pointwise Transfinite Induction and a Miniaturized Predicativity
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Tiered Arithmetics
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Predicative Analysis of Feasibility and Diagonalization
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Recursion Schemata for NC k
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Dependency Pairs and Polynomial Path Orders
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A New Order-Theoretic Characterisation of the Polytime Computable Functions
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Complexity of Primitive Recursion
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Theory of Computation and Specification over Abstract Data Types, and its Applications
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Feasible Computation with Higher Types
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Ramified recurrence and computational complexity II: Substitution and poly-space
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Predicative functional recurrence and poly-space
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Neat function algebraic characterizations of logspace and linspace
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Implicit recursion-theoretic characterizations of counting classes
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A term rewriting characterization of the polytime functions and related complexity classes
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Characterizing the elementary recursive functions by a fragment of Gödel's T
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Functions over free algebras definable in the simply typed lambda calculus
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Two function algebras defining functions in NCk boolean circuits
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Implicit characterizations of FPTIME and NC revisited
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On the computational complexity of imperative programming languages
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Separating NC along the δ axis
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An arithmetic for polynomial-time computation
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A new order-theoretic characterisation of the polytime computable functions
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Computation Models and Function Algebras
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Higher type recursion, ramification and polynomial time
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Term rewriting theory for the primitive recursive functions
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Ramified recurrence and computational complexity III: Higher type recurrence and elementary complexity
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Unification of infinite sets of terms schematized by primal grammars
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A characterization of alternating log time by ramified recurrence
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Analysing the implicit complexity of programs
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Proofs and Computations
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A predicative approach to the classification problem
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Algorithms with polynomial interpretation termination proof
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Safe Weak Minimization Revisited
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Certifying Polynomial Time and Linear/Polynomial Space for Imperative Programs
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On tiered small jump operators
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Polynomial Path Orders
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Tiering as a Recursion Technique
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A new “feasible” arithmetic
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General Ramified Recurrence is Sound for Polynomial Time
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Smarter Features, Simpler Learning?
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Dependency Pairs and Polynomial Path Orders
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A New Order-theoretic Characterisation of the Polytime Computable Functions
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Polynomial Path Orders: A Maximal Model
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Predicative Lexicographic Path Orders: An Application of Term Rewriting to the Region of Primitive Recursive Functions
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A syntactical analysis of non-size-increasing polynomial time computation
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The Implicit Computational Complexity of Imperative Programming Languages
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