Challenge: Among different methods for structured reasoning, we focus on backward chaining, where the goal is recursively decomposed into subgoals by searching and applying rules.
Approach: They propose a backward chaining system that integrates a symbolic solver and an LLM to improve the performance of LLM-based reasoning.
Outcome: The proposed system improves deductive, relational, and arithmetic reasoning benchmarks compared to baselines.

Similar Papers

LAMBADA: Backward Chaining for Automated Reasoning in Natural Language (2023.acl-long)

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Challenge: Recent advances in automated reasoning with natural text suffer from a combinatorial explosion of the search space and high failure rates for problems requiring longer chains of reasoning.
Approach: They propose a Backward Chaining algorithm that decomposes reasoning into four sub-modules and implements it by few-shot prompted LLM inference.
Outcome: The proposed algorithm achieves sizable accuracy boosts over state-of-the-art forward reasoning methods on two challenging logical reasoning datasets.
Faithful Logical Reasoning via Symbolic Chain-of-Thought (2024.acl-long)

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Challenge: SymbCoT is a framework that integrates symbolic expressions and logic rules with CoT prompting.
Approach: They propose a Symbolic Chain-of-Thought framework that integrates symbolic expressions and logic rules with CoT prompting.
Outcome: The proposed framework improves on 5 standard datasets with symbolic expressions and rules . it shows that it is more faithful, flexible, and explainable than the current method .
Evaluating Step-by-Step Reasoning through Symbolic Verification (2024.findings-naacl)

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Challenge: Pre-trained language models (LMs) have shown remarkable reasoning performance using explanations or chain-of-thoughts (CoT)) for in-context learning.
Approach: They propose to use symbolic examples to iteratively reason over symbolic examples and to recover Prolog’s backward chaining algorithm to iterate over KBs.
Outcome: The proposed model performs better on length generalization benchmarks than CoT on explanations and chain-of-thoughts (CoT) tasks.
BC-Prover: Backward Chaining Prover for Formal Theorem Proving (2024.emnlp-main)

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Challenge: Existing methods for interactive theorem proving in formal logic lack robustness and robustness.
Approach: They propose a backward chaining framework guided by pseudo steps for proofstep generation that prioritizes pseudo steps.
Outcome: The proposed framework improves on the miniF2F benchmark.
Adaptive LLM-Symbolic Reasoning via Dynamic Logical Solver Composition (2026.eacl-long)

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Challenge: Existing approaches to NLP are static and require manual formalization.
Approach: They propose an adaptive, multi-paradigm, neuro-symbolic inference framework that automatically identifies formal reasoning strategies from problems expressed in natural language and dynamically selects and applies specialized formal logical solvers.
Outcome: The proposed framework outperforms baselines on individual and multi-paradigm reasoning tasks by 17% and 6%.
Neuro-Symbolic Integration Brings Causal and Reliable Reasoning Proofs (2025.findings-naacl)

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Challenge: a new framework for complex reasoning with LLMs is developed to improve reasoning proof accuracy and interpretability.
Approach: They propose to use LLMs to generate search logs that can be interpreted into human-readable reasoning proofs.
Outcome: The proposed framework improves reasoning accuracy but lacks interpretability due to black-box nature of the solvers.
LINC: A Neurosymbolic Approach for Logical Reasoning by Combining Language Models with First-Order Logic Provers (2023.emnlp-main)

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Challenge: Logical reasoning is an important task for artificial intelligence, says a new study . many prompting-based strategies to enable large language models fail in subtle and unpredictable ways.
Approach: They propose to reformulate logical reasoning tasks by leveraging large language models . they use a modular neurosymbolic programming approach to translate premises and conclusions from natural language to logic .
Outcome: The proposed approach outperforms open-source models on FOLIO and ProofWriter while showing distinct failure modes.
From Informal to Formal – Incorporating and Evaluating LLMs on Natural Language Requirements to Verifiable Formal Proofs (2025.acl-long)

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Challenge: Recent studies in formal mathematical reasoning have shown an unstoppable growth trend.
Approach: They constructed 18k high-quality instruction-response pairs across five mainstream formal specification languages and evaluated them against ten open-sourced LLMs.
Outcome: The proposed model compared instruction-response pairs across five formal specification languages and found that the LLMs were good at writing proof segments when given either the code, or the detailed description of proof steps.
Meta-Reasoning: Semantics-Symbol Deconstruction for Large Language Models (2024.findings-acl)

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Challenge: Existing methods rely on syntactically mapping natural languages to complete formal languages like Python and SQL.
Approach: They propose to deconstruct reasoning-independent semantic information into generic symbolic representations, thereby efficiently capturing more generalized reasoning knowledge.
Outcome: The proposed method improves in-context reasoning accuracy, learning efficiency, out-of-domain generalization, and output stability compared to the Chain-of thought technique.
LLMs Faithfully and Iteratively Compute Answers During CoT: A Systematic Analysis With Multi-step Arithmetics (2026.findings-eacl)

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Challenge: Specifically, we examine when the LLMs’ answer is (pre)determined, especially before the CoT begins or after, and how strongly the information from CoT specifically has a causal effect on the final answer.
Approach: They examine when the LLMs’ answer is (pre)determined, especially before the CoT begins or after, and how strongly the information from CoT specifically has a causal effect on the final answer.
Outcome: The proposed model can generate reasoning chains while generating the reasoning chain on the fly.

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